13683384 has 128 divisors (see below), whose sum is σ = 44755200. Its totient is φ = 3818880.

The previous prime is 13683349. The next prime is 13683407. The reversal of 13683384 is 48338631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30667 + ... + 31109.

It is an arithmetic number, because the mean of its divisors is an integer number (349650).

Almost surely, 2^13683384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13683384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22377600).

13683384 is an abundant number, since it is smaller than the sum of its proper divisors (31071816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13683384 is a wasteful number, since it uses less digits than its factorization.

13683384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 13683384 is about 3699.1058379019. The cubic root of 13683384 is about 239.1834751805.

The spelling of 13683384 in words is "thirteen million, six hundred eighty-three thousand, three hundred eighty-four".